On the lattices from elliptic curves over finite fields

被引：4

作者：

Sha, Min ^{[1
]}

机构：

[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

FINITE FIELDS AND THEIR APPLICATIONS | 2015年 / 31卷

基金：

澳大利亚研究理事会;

关键词：

Elliptic curve; Lattice; Minimal vector; Basis; Covering radius;

D O I：

10.1016/j.ffa.2014.10.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we continue the recent work of Fukshansky and Maharaj on lattices from elliptic curves over finite fields. We show that there exist bases formed by minimal vectors for these lattices except only one case. We also compute their determinants, and obtain sharp bounds for the covering radius. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：84 / 107

页数：24

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